Given: The total score of the Indian team is 467 runs.
Dhoni scored 104 more than the average scored by the remaining ten batsmen of the team.
Concept: Often "average" refers to the arithmetic mean, the sum of the numbers divided by how many numbers are being averaged.
Formula used: Average = Total sum of all numbers / Total numbers of an item
Calculation: The total score of the Indian team is 467 runs.
Let the average score of the remaining 10 players be x.
Then total runs scored by 10 players
⇒ Average runs × number of players
⇒ x × 10 = 10x
We know that Dhoni scored 104 more than the average scored by the remaining ten batsmen of the team.
So, total runs scored by Dhoni
⇒ Average runs of 10 players + 104
⇒ x + 104
Now total runs scored by team is
⇒ 10x + x + 104
⇒ 11x + 104
But by question total runs scored by team = 467
Now we compare both results
⇒ 11x + 104 = 467
⇒ 11x = 467 – 104
⇒ 11x = 363
⇒ x = 33
Now total runs scored by Dhoni
⇒ x + 104
⇒ 33 + 104 = 137
∴ total runs scored by Dhoni is 137.